Q: What are the prime factors of the number 104,060,523?

 A: 3, 7, 4955263

Why are those the prime factors of the number 104,060,523?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 104,060,523

104,060,523
Factor Arrows
334,686,841
Factor Arrows
74,955,263

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 7, 4955263

We can check our work by multiplying all of the prime factors together: 3 x 7 x 4,955,263 = 104,060,523

This can also be written as 31 x 71 x 4,955,2631 = 104,060,523

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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